DLMF:5.17.E5 (Q2185): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(6 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: gamma function / rank | |||
Normal rank | |||
Property / Symbols used: gamma function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}\EulerGamma@{\NVar{z}} | |||
Property / Symbols used: gamma function / qualifier | |||
xml-id: C5.S2.E1.m2abdec | |||
Property / Symbols used | |||
Property / Symbols used: Q10931 / rank | |||
Normal rank | |||
Property / Symbols used: Q10931 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympexp}\asympexp | |||
Property / Symbols used: Q10931 / qualifier | |||
xml-id: C2.S1.SS3.p1.m11adec | |||
Property / Symbols used | |||
Property / Symbols used: general logarithm function / rank | |||
Normal rank | |||
Property / Symbols used: general logarithm function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Ln@@{\NVar{z}}}\Ln@@{\NVar{z}} | |||
Property / Symbols used: general logarithm function / qualifier | |||
xml-id: C4.S2.E1.m2aadec | |||
Property / Symbols used | |||
Property / Symbols used: principal branch of logarithm function / rank | |||
Normal rank | |||
Property / Symbols used: principal branch of logarithm function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\NVar{z}}}\ln@@{\NVar{z}} | |||
Property / Symbols used: principal branch of logarithm function / qualifier | |||
xml-id: C4.S2.E2.m2aadec | |||
Property / Symbols used | |||
Property / Symbols used: Q11279 / rank | |||
Normal rank | |||
Property / Symbols used: Q11279 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}k | |||
Property / Symbols used: Q11279 / qualifier | |||
xml-id: C5.S1.XMD4.m1adec | |||
Property / Symbols used | |||
Property / Symbols used: Q11273 / rank | |||
Normal rank | |||
Property / Symbols used: Q11273 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
Property / Symbols used: Q11273 / qualifier | |||
xml-id: C5.S1.XMD7.m1cdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11296 / rank | |||
Normal rank | |||
Property / Symbols used: Q11296 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A}A | |||
Property / Symbols used: Q11296 / qualifier | |||
xml-id: C5.S17.XMD1.m1dec |
Latest revision as of 01:09, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:5.17.E5 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Ln@@{\BarnesG@{z+1}}\asympexp\tfrac{1}{4}z^{2}+z\Ln@@{\EulerGamma@{z+1}}-\left(\tfrac{1}{2}z(z+1)+\tfrac{1}{12}\right)\Ln@@{z}-\ln@@{A}+\sum_{k=1}^{\infty}\frac{\BernoullinumberB{2k+2}}{2k(2k+1)(2k+2)z^{2k}}.}
0 references
DLMF:5.17.E5
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BarnesG@{\NVar{z}}}
C5.S17.E1.m1addec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BernoullinumberB{\NVar{n}}}
C24.S2.SS1.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympexp}
C2.S1.SS3.p1.m11adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Ln@@{\NVar{z}}}
C4.S2.E1.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\NVar{z}}}
C4.S2.E2.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
C5.S1.XMD4.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C5.S1.XMD7.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A}
C5.S17.XMD1.m1dec
0 references